[图书][B] Variational analysis and applications
BS Mordukhovich - 2018 - Springer
Boris S. Mordukhovich Page 1 Springer Monographs in Mathematics Boris S. Mordukhovich
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational Analysis and Applications Page 2 Springer Monographs in Mathematics Editors-in-Chief …
Variational and strong variational convexity in infinite-dimensional variational analysis
PD Khanh, VVH Khoa, BS Mordukhovich… - SIAM Journal on …, 2024 - SIAM
This paper is devoted to a systematic study and characterizations of the fundamental notions
of variational and strong variational convexity for lower semicontinuous functions. While …
of variational and strong variational convexity for lower semicontinuous functions. While …
Variational convexity of functions and variational sufficiency in optimization
The paper is devoted to the study, characterizations, and applications of variational
convexity of functions, the property that has been recently introduced by Rockafellar together …
convexity of functions, the property that has been recently introduced by Rockafellar together …
Local maximal monotonicity in variational analysis and optimization
PD Khanh, VVH Khoa, BS Mordukhovich… - arXiv preprint arXiv …, 2023 - arxiv.org
The paper is devoted to a systematic study and characterizations of notions of local maximal
monotonicity and their strong counterparts for set-valued operators that appear in variational …
monotonicity and their strong counterparts for set-valued operators that appear in variational …
Relationships between Global and Local Monotonicity of Operators
PD Khanh, VVH Khoa, JE Martínez-Legaz… - arXiv preprint arXiv …, 2024 - arxiv.org
The paper is devoted to establishing relationships between global and local monotonicity,
as well as their maximality versions, for single-valued and set-valued mappings between …
as well as their maximality versions, for single-valued and set-valued mappings between …
Second-order characterization of convex mappings in Banach spaces and its applications
MT Nadi, J Zafarani - Journal of Global Optimization, 2023 - Springer
We show that the positive semi-definiteness of the regular or limiting (Mordukhovich) second-
order subdifferential of an approximately convex function is a sufficient condition for its …
order subdifferential of an approximately convex function is a sufficient condition for its …
Lipschitzian Stability via Second-Order Subdifferentials
BS Mordukhovich - Second-Order Variational Analysis in Optimization …, 2024 - Springer
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On the positive definiteness of limiting coderivative for set-valued mappings
This paper concerns the interconnection between the positive definiteness of limiting
coderivative and the local strong maximal monotonicity of set-valued mappings suspected in …
coderivative and the local strong maximal monotonicity of set-valued mappings suspected in …
Characterizations of quasiconvex and pseudoconvex functions by their second-order regular subdifferentials
MT Nadi, J Zafarani - Journal of the Australian Mathematical Society, 2020 - cambridge.org
CHARACTERIZATIONS OF QUASICONVEX AND PSEUDOCONVEX FUNCTIONS BY
THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS Page 1 J. Aust. Math. Soc. 109 (2020) …
THEIR SECOND-ORDER REGULAR SUBDIFFERENTIALS Page 1 J. Aust. Math. Soc. 109 (2020) …
Exact Penalty Algorithm of Strong Convertible Nonconvex Optimization
M Jiang, R Shen, Z Meng, C Dang - arXiv preprint arXiv:2202.07317, 2022 - arxiv.org
This paper defines a strong convertible nonconvex (SCN) function for solving the
unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) …
unconstrained optimization problems with the nonconvex or nonsmooth (nondifferentiable) …